Homologous Non-isotopic Symplectic Surfaces of Higher Genus
arXiv:math/0601748
Abstract
We construct an infinite family of homologous, non-isotopic, symplectic surfaces of any genus greater than one in a certain class of closed, simply connected, symplectic four-manifolds. Our construction is the first example of this phenomenon for surfaces of genus greater than one.
12 pages, 3 figures. To appear in Trans. Amer. Math. Soc